Article citationsMore>>

Galperin, G. (2003) Playing Pool with π (the Number π from the Billiard Point of View). Regular and Chaotic Dynamics, 8, 375-394.
https://doi.org/10.1070/RD2003v008n04ABEH000252

has been cited by the following article:

• TITLE: Hyperbolic Reflections Leading to the Digits of ln(2)

  AUTHORS: François Dubeau

  KEYWORDS: Dynamical System, Hyperbolic Setting, Reflection, Rotation, Digits, Logarithmic Constant

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.1, January 19, 2022

  ABSTRACT: We analyze a problem of interactions between elements of an ideal system which consists of two point masses and a wall in a hyperbolic setting. Thanks to a change of variables, the problem is reduced to a sequence of reflections on a hyperbola. For specific ratios of the two masses, the number of interactions is related to the first numerical digits of the logarithmic constant ln (2).